Question

one year ago clare was 4 feet and 6 inches tall. now clare is 4 feet and 10 inches tall. by what percentage did clares height increase in the last year

Answer 1

7

Explanation:

Answer 2

Clare's height increased by about 7.4% in the last year

Solution:

One year ago clare was 4 feet and 6 inches tall

Now clare is 4 feet and 10 inches tall

Convert to inches

1 feet = 12 inches

4 feet and 6 inches = (4 x 12) + 6 inches = 54 inches

4 feet and 10 inches = (4 x 12) + 10 inches = 58 inches

Formula for Percent of Increase:

`Percent\ Increase = \frac{\text{Final value - initial value}}{initial\ value} * 100`

Here,

Initial value = 54 inches

Final value = 58 inches

Substituting the values we get,

`Percent\ Increase = (58-54)/(54) * 100\\\\Percent\ Increase = (4)/(54) * 100\\\\Percent\ Increase = 7.4074 \approx 7.4`

Thus percent increase is 7.4 %